Related Articles ( Finite Difference )
Integral Equations and their Relationship to Differential Equations with Initial Conditions
Integral and differential equations have a fundamental importance in the functional analysis and the practice problems, and many domains of scientific research. However, the resolution of differential equations with constant coefficients is easy, but the resolution of these equations with variable coefficients ...
A Fourth Order Difference Method For a Nonlinear Elliptic PDEs in Two Dimension Space
In this article, we have presented a novel high order difference method for solving nonlinear elliptic equations with constant coefficients in two dimensions Cartesian coordinate system subject to Dirichlet boundary conditions. The present fourth order method based on the exponential techniques. The method ...
Finite Difference Method for Numerical Solution of Two Point Boundary Value Problems with Non-uniform Mesh and Internal Boundary Condition
In this article, we have presented a variable step finite difference method for solving second order boundary value problems in ordinary differential equations with an internal boundary condition. We have discussed the convergence and established at least cubic order of accuracy of the proposed method. ...
A six-step Block Unification Integrator for Numerical Solution of Fourth Order Boundary Value Problems
In this paper, a new 7th order continuous finite difference methods is proposed. These methods are derived using the Chebyshev polynomials as basis functions. The collocation approach is employed to obtain the main methods and additional methods used for solving general nonlinear fourth order two and four-points ...